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Finding the Fourth Proportional to 64.49, 88.94 and 56.30

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Solution

The fourth proportional to 64.49, 88.94 and 56.30 is: 77.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.49 : 88.94 = 56.30 : x
  2. Step 2: Convert to fraction form
    64.49/88.94 = 56.30/x
  3. Step 3: Cross multiply
    64.49x = 88.94 × 56.30
  4. Step 4: Simplify right side
    64.49x = 5,006.60
  5. Step 5: Solve for x
    x = 5,006.60/64.49
  6. Step 6: Final answer
    x = 77.64

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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.