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Finding the Fourth Proportional to 291.30, 402.00 and 158.52

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Solution

The fourth proportional to 291.30, 402.00 and 158.52 is: 218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.30 : 402.00 = 158.52 : x
  2. Step 2: Convert to fraction form
    291.30/402.00 = 158.52/x
  3. Step 3: Cross multiply
    291.30x = 402.00 × 158.52
  4. Step 4: Simplify right side
    291.30x = 63,726.63
  5. Step 5: Solve for x
    x = 63,726.63/291.30
  6. Step 6: Final answer
    x = 218.77

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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.