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Finding the Fourth Proportional to 356.76, 534.15 and 259.02

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Solution

The fourth proportional to 356.76, 534.15 and 259.02 is: 387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.76 : 534.15 = 259.02 : x
  2. Step 2: Convert to fraction form
    356.76/534.15 = 259.02/x
  3. Step 3: Cross multiply
    356.76x = 534.15 × 259.02
  4. Step 4: Simplify right side
    356.76x = 138,355.53
  5. Step 5: Solve for x
    x = 138,355.53/356.76
  6. Step 6: Final answer
    x = 387.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.