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Finding the Fourth Proportional to 528.26, 728.94 and 292.18

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Solution

The fourth proportional to 528.26, 728.94 and 292.18 is: 403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.26 : 728.94 = 292.18 : x
  2. Step 2: Convert to fraction form
    528.26/728.94 = 292.18/x
  3. Step 3: Cross multiply
    528.26x = 728.94 × 292.18
  4. Step 4: Simplify right side
    528.26x = 212,978.77
  5. Step 5: Solve for x
    x = 212,978.77/528.26
  6. Step 6: Final answer
    x = 403.17

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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.