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Finding the Fourth Proportional to 157.16, 216.95 and 140.76

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Solution

The fourth proportional to 157.16, 216.95 and 140.76 is: 194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.16 : 216.95 = 140.76 : x
  2. Step 2: Convert to fraction form
    157.16/216.95 = 140.76/x
  3. Step 3: Cross multiply
    157.16x = 216.95 × 140.76
  4. Step 4: Simplify right side
    157.16x = 30,537.18
  5. Step 5: Solve for x
    x = 30,537.18/157.16
  6. Step 6: Final answer
    x = 194.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.