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Finding the Fourth Proportional to 156.86, 215.28 and 152.78

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Solution

The fourth proportional to 156.86, 215.28 and 152.78 is: 209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.86 : 215.28 = 152.78 : x
  2. Step 2: Convert to fraction form
    156.86/215.28 = 152.78/x
  3. Step 3: Cross multiply
    156.86x = 215.28 × 152.78
  4. Step 4: Simplify right side
    156.86x = 32,889.71
  5. Step 5: Solve for x
    x = 32,889.71/156.86
  6. Step 6: Final answer
    x = 209.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.