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Finding the Fourth Proportional to 239.13, 358.71 and 117.06

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Solution

The fourth proportional to 239.13, 358.71 and 117.06 is: 175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.13 : 358.71 = 117.06 : x
  2. Step 2: Convert to fraction form
    239.13/358.71 = 117.06/x
  3. Step 3: Cross multiply
    239.13x = 358.71 × 117.06
  4. Step 4: Simplify right side
    239.13x = 41,990.59
  5. Step 5: Solve for x
    x = 41,990.59/239.13
  6. Step 6: Final answer
    x = 175.60

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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.