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Finding the Fourth Proportional to 156.81, 215.29 and 152.79

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Solution

The fourth proportional to 156.81, 215.29 and 152.79 is: 209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.81 : 215.29 = 152.79 : x
  2. Step 2: Convert to fraction form
    156.81/215.29 = 152.79/x
  3. Step 3: Cross multiply
    156.81x = 215.29 × 152.79
  4. Step 4: Simplify right side
    156.81x = 32,893.40
  5. Step 5: Solve for x
    x = 32,893.40/156.81
  6. Step 6: Final answer
    x = 209.77

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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.