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Finding the Fourth Proportional to 240.64, 358.14 and 239.20

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Solution

The fourth proportional to 240.64, 358.14 and 239.20 is: 356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.64 : 358.14 = 239.20 : x
  2. Step 2: Convert to fraction form
    240.64/358.14 = 239.20/x
  3. Step 3: Cross multiply
    240.64x = 358.14 × 239.20
  4. Step 4: Simplify right side
    240.64x = 85,667.09
  5. Step 5: Solve for x
    x = 85,667.09/240.64
  6. Step 6: Final answer
    x = 356.00

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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.