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Finding the Fourth Proportional to 157.69, 235.21 and 148.66

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Solution

The fourth proportional to 157.69, 235.21 and 148.66 is: 221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.69 : 235.21 = 148.66 : x
  2. Step 2: Convert to fraction form
    157.69/235.21 = 148.66/x
  3. Step 3: Cross multiply
    157.69x = 235.21 × 148.66
  4. Step 4: Simplify right side
    157.69x = 34,966.32
  5. Step 5: Solve for x
    x = 34,966.32/157.69
  6. Step 6: Final answer
    x = 221.74

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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.