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Finding the Fourth Proportional to 64.84, 89.50 and 38.98

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Solution

The fourth proportional to 64.84, 89.50 and 38.98 is: 53.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.84 : 89.50 = 38.98 : x
  2. Step 2: Convert to fraction form
    64.84/89.50 = 38.98/x
  3. Step 3: Cross multiply
    64.84x = 89.50 × 38.98
  4. Step 4: Simplify right side
    64.84x = 3,488.71
  5. Step 5: Solve for x
    x = 3,488.71/64.84
  6. Step 6: Final answer
    x = 53.80

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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.