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Finding the Fourth Proportional to 157.34, 235.95 and 66.08

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Solution

The fourth proportional to 157.34, 235.95 and 66.08 is: 99.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.34 : 235.95 = 66.08 : x
  2. Step 2: Convert to fraction form
    157.34/235.95 = 66.08/x
  3. Step 3: Cross multiply
    157.34x = 235.95 × 66.08
  4. Step 4: Simplify right side
    157.34x = 15,591.58
  5. Step 5: Solve for x
    x = 15,591.58/157.34
  6. Step 6: Final answer
    x = 99.09

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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.