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Finding the Fourth Proportional to 338.24, 510.30 and 337.34

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Solution

The fourth proportional to 338.24, 510.30 and 337.34 is: 508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.24 : 510.30 = 337.34 : x
  2. Step 2: Convert to fraction form
    338.24/510.30 = 337.34/x
  3. Step 3: Cross multiply
    338.24x = 510.30 × 337.34
  4. Step 4: Simplify right side
    338.24x = 172,144.60
  5. Step 5: Solve for x
    x = 172,144.60/338.24
  6. Step 6: Final answer
    x = 508.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.