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Finding the Fourth Proportional to 532.88, 735.24 and 311.69

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Solution

The fourth proportional to 532.88, 735.24 and 311.69 is: 430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.88 : 735.24 = 311.69 : x
  2. Step 2: Convert to fraction form
    532.88/735.24 = 311.69/x
  3. Step 3: Cross multiply
    532.88x = 735.24 × 311.69
  4. Step 4: Simplify right side
    532.88x = 229,166.96
  5. Step 5: Solve for x
    x = 229,166.96/532.88
  6. Step 6: Final answer
    x = 430.05

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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.