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Finding the Fourth Proportional to 459.56, 688.94 and 240.06

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Solution

The fourth proportional to 459.56, 688.94 and 240.06 is: 359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.56 : 688.94 = 240.06 : x
  2. Step 2: Convert to fraction form
    459.56/688.94 = 240.06/x
  3. Step 3: Cross multiply
    459.56x = 688.94 × 240.06
  4. Step 4: Simplify right side
    459.56x = 165,385.74
  5. Step 5: Solve for x
    x = 165,385.74/459.56
  6. Step 6: Final answer
    x = 359.88

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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.