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Finding the Fourth Proportional to 64.54, 89.07 and 49.10

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Solution

The fourth proportional to 64.54, 89.07 and 49.10 is: 67.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.54 : 89.07 = 49.10 : x
  2. Step 2: Convert to fraction form
    64.54/89.07 = 49.10/x
  3. Step 3: Cross multiply
    64.54x = 89.07 × 49.10
  4. Step 4: Simplify right side
    64.54x = 4,373.34
  5. Step 5: Solve for x
    x = 4,373.34/64.54
  6. Step 6: Final answer
    x = 67.76

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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.