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Finding the Fourth Proportional to 215.71, 293.70 and 215.03

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Solution

The fourth proportional to 215.71, 293.70 and 215.03 is: 292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.71 : 293.70 = 215.03 : x
  2. Step 2: Convert to fraction form
    215.71/293.70 = 215.03/x
  3. Step 3: Cross multiply
    215.71x = 293.70 × 215.03
  4. Step 4: Simplify right side
    215.71x = 63,154.85
  5. Step 5: Solve for x
    x = 63,154.85/215.71
  6. Step 6: Final answer
    x = 292.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.