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Finding the Fourth Proportional to 356.13, 531.68 and 310.05

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Solution

The fourth proportional to 356.13, 531.68 and 310.05 is: 462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.13 : 531.68 = 310.05 : x
  2. Step 2: Convert to fraction form
    356.13/531.68 = 310.05/x
  3. Step 3: Cross multiply
    356.13x = 531.68 × 310.05
  4. Step 4: Simplify right side
    356.13x = 164,845.83
  5. Step 5: Solve for x
    x = 164,845.83/356.13
  6. Step 6: Final answer
    x = 462.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.