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Finding the Fourth Proportional to 610.90, 916.54 and 178.06

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Solution

The fourth proportional to 610.90, 916.54 and 178.06 is: 267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.90 : 916.54 = 178.06 : x
  2. Step 2: Convert to fraction form
    610.90/916.54 = 178.06/x
  3. Step 3: Cross multiply
    610.90x = 916.54 × 178.06
  4. Step 4: Simplify right side
    610.90x = 163,196.38
  5. Step 5: Solve for x
    x = 163,196.38/610.90
  6. Step 6: Final answer
    x = 267.14

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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.