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Finding the Fourth Proportional to 74.61, 102.68 and 64.23

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Solution

The fourth proportional to 74.61, 102.68 and 64.23 is: 88.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.61 : 102.68 = 64.23 : x
  2. Step 2: Convert to fraction form
    74.61/102.68 = 64.23/x
  3. Step 3: Cross multiply
    74.61x = 102.68 × 64.23
  4. Step 4: Simplify right side
    74.61x = 6,594.82
  5. Step 5: Solve for x
    x = 6,594.82/74.61
  6. Step 6: Final answer
    x = 88.39

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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.