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Finding the Fourth Proportional to 378.68, 566.98 and 291.80

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Solution

The fourth proportional to 378.68, 566.98 and 291.80 is: 436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.68 : 566.98 = 291.80 : x
  2. Step 2: Convert to fraction form
    378.68/566.98 = 291.80/x
  3. Step 3: Cross multiply
    378.68x = 566.98 × 291.80
  4. Step 4: Simplify right side
    378.68x = 165,444.76
  5. Step 5: Solve for x
    x = 165,444.76/378.68
  6. Step 6: Final answer
    x = 436.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.