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Finding the Fourth Proportional to 158.72, 237.88 and 72

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Solution

The fourth proportional to 158.72, 237.88 and 72 is: 107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.72 : 237.88 = 72 : x
  2. Step 2: Convert to fraction form
    158.72/237.88 = 72/x
  3. Step 3: Cross multiply
    158.72x = 237.88 × 72
  4. Step 4: Simplify right side
    158.72x = 17,127.36
  5. Step 5: Solve for x
    x = 17,127.36/158.72
  6. Step 6: Final answer
    x = 107.91

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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.