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Finding the Fourth Proportional to 478.01, 659.64 and 268.20

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Solution

The fourth proportional to 478.01, 659.64 and 268.20 is: 370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.01 : 659.64 = 268.20 : x
  2. Step 2: Convert to fraction form
    478.01/659.64 = 268.20/x
  3. Step 3: Cross multiply
    478.01x = 659.64 × 268.20
  4. Step 4: Simplify right side
    478.01x = 176,915.45
  5. Step 5: Solve for x
    x = 176,915.45/478.01
  6. Step 6: Final answer
    x = 370.11

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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.