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Finding the Fourth Proportional to 375.80, 562.72 and 302.34

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Solution

The fourth proportional to 375.80, 562.72 and 302.34 is: 452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.80 : 562.72 = 302.34 : x
  2. Step 2: Convert to fraction form
    375.80/562.72 = 302.34/x
  3. Step 3: Cross multiply
    375.80x = 562.72 × 302.34
  4. Step 4: Simplify right side
    375.80x = 170,132.76
  5. Step 5: Solve for x
    x = 170,132.76/375.80
  6. Step 6: Final answer
    x = 452.72

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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.