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Finding the Fourth Proportional to 629.98, 869.40 and 368.08

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Solution

The fourth proportional to 629.98, 869.40 and 368.08 is: 507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.98 : 869.40 = 368.08 : x
  2. Step 2: Convert to fraction form
    629.98/869.40 = 368.08/x
  3. Step 3: Cross multiply
    629.98x = 869.40 × 368.08
  4. Step 4: Simplify right side
    629.98x = 320,008.75
  5. Step 5: Solve for x
    x = 320,008.75/629.98
  6. Step 6: Final answer
    x = 507.97

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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.