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Finding the Fourth Proportional to 156.16, 215.28 and 106.92

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Solution

The fourth proportional to 156.16, 215.28 and 106.92 is: 147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.16 : 215.28 = 106.92 : x
  2. Step 2: Convert to fraction form
    156.16/215.28 = 106.92/x
  3. Step 3: Cross multiply
    156.16x = 215.28 × 106.92
  4. Step 4: Simplify right side
    156.16x = 23,017.74
  5. Step 5: Solve for x
    x = 23,017.74/156.16
  6. Step 6: Final answer
    x = 147.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.