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Finding the Fourth Proportional to 630.30, 869.53 and 368.14

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Solution

The fourth proportional to 630.30, 869.53 and 368.14 is: 507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.30 : 869.53 = 368.14 : x
  2. Step 2: Convert to fraction form
    630.30/869.53 = 368.14/x
  3. Step 3: Cross multiply
    630.30x = 869.53 × 368.14
  4. Step 4: Simplify right side
    630.30x = 320,108.77
  5. Step 5: Solve for x
    x = 320,108.77/630.30
  6. Step 6: Final answer
    x = 507.87

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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.