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Finding the Fourth Proportional to 157.70, 235.41 and 147.47

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Solution

The fourth proportional to 157.70, 235.41 and 147.47 is: 220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.70 : 235.41 = 147.47 : x
  2. Step 2: Convert to fraction form
    157.70/235.41 = 147.47/x
  3. Step 3: Cross multiply
    157.70x = 235.41 × 147.47
  4. Step 4: Simplify right side
    157.70x = 34,714.74
  5. Step 5: Solve for x
    x = 34,714.74/157.70
  6. Step 6: Final answer
    x = 220.14

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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.