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Finding the Fourth Proportional to 532.65, 735.00 and 311.45

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Solution

The fourth proportional to 532.65, 735.00 and 311.45 is: 429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.65 : 735.00 = 311.45 : x
  2. Step 2: Convert to fraction form
    532.65/735.00 = 311.45/x
  3. Step 3: Cross multiply
    532.65x = 735.00 × 311.45
  4. Step 4: Simplify right side
    532.65x = 228,911.78
  5. Step 5: Solve for x
    x = 228,911.78/532.65
  6. Step 6: Final answer
    x = 429.76

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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.