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Finding the Fourth Proportional to 156.34, 215.17 and 145.16

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Solution

The fourth proportional to 156.34, 215.17 and 145.16 is: 199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.34 : 215.17 = 145.16 : x
  2. Step 2: Convert to fraction form
    156.34/215.17 = 145.16/x
  3. Step 3: Cross multiply
    156.34x = 215.17 × 145.16
  4. Step 4: Simplify right side
    156.34x = 31,234.08
  5. Step 5: Solve for x
    x = 31,234.08/156.34
  6. Step 6: Final answer
    x = 199.78

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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.