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Finding the Fourth Proportional to 281.01, 387.74 and 156.66

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Solution

The fourth proportional to 281.01, 387.74 and 156.66 is: 216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.01 : 387.74 = 156.66 : x
  2. Step 2: Convert to fraction form
    281.01/387.74 = 156.66/x
  3. Step 3: Cross multiply
    281.01x = 387.74 × 156.66
  4. Step 4: Simplify right side
    281.01x = 60,741.70
  5. Step 5: Solve for x
    x = 60,741.70/281.01
  6. Step 6: Final answer
    x = 216.16

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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.