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Finding the Fourth Proportional to 104.16, 156.16 and 90.64

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Solution

The fourth proportional to 104.16, 156.16 and 90.64 is: 135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.16 : 156.16 = 90.64 : x
  2. Step 2: Convert to fraction form
    104.16/156.16 = 90.64/x
  3. Step 3: Cross multiply
    104.16x = 156.16 × 90.64
  4. Step 4: Simplify right side
    104.16x = 14,154.34
  5. Step 5: Solve for x
    x = 14,154.34/104.16
  6. Step 6: Final answer
    x = 135.89

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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.