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Finding the Fourth Proportional to 532.75, 735.18 and 311.84

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Solution

The fourth proportional to 532.75, 735.18 and 311.84 is: 430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.75 : 735.18 = 311.84 : x
  2. Step 2: Convert to fraction form
    532.75/735.18 = 311.84/x
  3. Step 3: Cross multiply
    532.75x = 735.18 × 311.84
  4. Step 4: Simplify right side
    532.75x = 229,258.53
  5. Step 5: Solve for x
    x = 229,258.53/532.75
  6. Step 6: Final answer
    x = 430.33

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Find fourth proportional to 266.38, 367.59 and 155.92
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.