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Finding the Fourth Proportional to 478.34, 660.11 and 291.77

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Solution

The fourth proportional to 478.34, 660.11 and 291.77 is: 402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.34 : 660.11 = 291.77 : x
  2. Step 2: Convert to fraction form
    478.34/660.11 = 291.77/x
  3. Step 3: Cross multiply
    478.34x = 660.11 × 291.77
  4. Step 4: Simplify right side
    478.34x = 192,595.54
  5. Step 5: Solve for x
    x = 192,595.54/478.34
  6. Step 6: Final answer
    x = 402.64

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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.