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Finding the Fourth Proportional to 385.30, 531.48 and 302.28

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Solution

The fourth proportional to 385.30, 531.48 and 302.28 is: 416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.30 : 531.48 = 302.28 : x
  2. Step 2: Convert to fraction form
    385.30/531.48 = 302.28/x
  3. Step 3: Cross multiply
    385.30x = 531.48 × 302.28
  4. Step 4: Simplify right side
    385.30x = 160,655.77
  5. Step 5: Solve for x
    x = 160,655.77/385.30
  6. Step 6: Final answer
    x = 416.96

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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.