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Finding the Fourth Proportional to 478.00, 659.04 and 311.95

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Solution

The fourth proportional to 478.00, 659.04 and 311.95 is: 430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.00 : 659.04 = 311.95 : x
  2. Step 2: Convert to fraction form
    478.00/659.04 = 311.95/x
  3. Step 3: Cross multiply
    478.00x = 659.04 × 311.95
  4. Step 4: Simplify right side
    478.00x = 205,587.18
  5. Step 5: Solve for x
    x = 205,587.18/478.00
  6. Step 6: Final answer
    x = 430.10

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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.