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Finding the Fourth Proportional to 103.42, 141.77 and 101.58

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Solution

The fourth proportional to 103.42, 141.77 and 101.58 is: 139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.42 : 141.77 = 101.58 : x
  2. Step 2: Convert to fraction form
    103.42/141.77 = 101.58/x
  3. Step 3: Cross multiply
    103.42x = 141.77 × 101.58
  4. Step 4: Simplify right side
    103.42x = 14,401.00
  5. Step 5: Solve for x
    x = 14,401.00/103.42
  6. Step 6: Final answer
    x = 139.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.