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Finding the Fourth Proportional to 528.39, 729.19 and 292.35

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Solution

The fourth proportional to 528.39, 729.19 and 292.35 is: 403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.39 : 729.19 = 292.35 : x
  2. Step 2: Convert to fraction form
    528.39/729.19 = 292.35/x
  3. Step 3: Cross multiply
    528.39x = 729.19 × 292.35
  4. Step 4: Simplify right side
    528.39x = 213,177.42
  5. Step 5: Solve for x
    x = 213,177.42/528.39
  6. Step 6: Final answer
    x = 403.45

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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.