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Finding the Fourth Proportional to 103.08, 153.91 and 90.63

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Solution

The fourth proportional to 103.08, 153.91 and 90.63 is: 135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.08 : 153.91 = 90.63 : x
  2. Step 2: Convert to fraction form
    103.08/153.91 = 90.63/x
  3. Step 3: Cross multiply
    103.08x = 153.91 × 90.63
  4. Step 4: Simplify right side
    103.08x = 13,948.86
  5. Step 5: Solve for x
    x = 13,948.86/103.08
  6. Step 6: Final answer
    x = 135.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.