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Finding the Fourth Proportional to 103.04, 153.84 and 90.88

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Solution

The fourth proportional to 103.04, 153.84 and 90.88 is: 135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.04 : 153.84 = 90.88 : x
  2. Step 2: Convert to fraction form
    103.04/153.84 = 90.88/x
  3. Step 3: Cross multiply
    103.04x = 153.84 × 90.88
  4. Step 4: Simplify right side
    103.04x = 13,980.98
  5. Step 5: Solve for x
    x = 13,980.98/103.04
  6. Step 6: Final answer
    x = 135.68

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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.