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Finding the Fourth Proportional to 530.46, 731.81 and 355.86

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Solution

The fourth proportional to 530.46, 731.81 and 355.86 is: 490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.46 : 731.81 = 355.86 : x
  2. Step 2: Convert to fraction form
    530.46/731.81 = 355.86/x
  3. Step 3: Cross multiply
    530.46x = 731.81 × 355.86
  4. Step 4: Simplify right side
    530.46x = 260,420.13
  5. Step 5: Solve for x
    x = 260,420.13/530.46
  6. Step 6: Final answer
    x = 490.93

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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.