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Finding the Fourth Proportional to 337.47, 505.21 and 302.28

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Solution

The fourth proportional to 337.47, 505.21 and 302.28 is: 452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.47 : 505.21 = 302.28 : x
  2. Step 2: Convert to fraction form
    337.47/505.21 = 302.28/x
  3. Step 3: Cross multiply
    337.47x = 505.21 × 302.28
  4. Step 4: Simplify right side
    337.47x = 152,713.37
  5. Step 5: Solve for x
    x = 152,713.37/337.47
  6. Step 6: Final answer
    x = 452.53

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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.