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Finding the Fourth Proportional to 630.20, 869.84 and 368.30

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Solution

The fourth proportional to 630.20, 869.84 and 368.30 is: 508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.20 : 869.84 = 368.30 : x
  2. Step 2: Convert to fraction form
    630.20/869.84 = 368.30/x
  3. Step 3: Cross multiply
    630.20x = 869.84 × 368.30
  4. Step 4: Simplify right side
    630.20x = 320,362.07
  5. Step 5: Solve for x
    x = 320,362.07/630.20
  6. Step 6: Final answer
    x = 508.35

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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.