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Finding the Fourth Proportional to 101.77, 152.59 and 43.98

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Solution

The fourth proportional to 101.77, 152.59 and 43.98 is: 65.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.77 : 152.59 = 43.98 : x
  2. Step 2: Convert to fraction form
    101.77/152.59 = 43.98/x
  3. Step 3: Cross multiply
    101.77x = 152.59 × 43.98
  4. Step 4: Simplify right side
    101.77x = 6,710.91
  5. Step 5: Solve for x
    x = 6,710.91/101.77
  6. Step 6: Final answer
    x = 65.94

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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.