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Finding the Fourth Proportional to 528.19, 728.95 and 295.31

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Solution

The fourth proportional to 528.19, 728.95 and 295.31 is: 407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.19 : 728.95 = 295.31 : x
  2. Step 2: Convert to fraction form
    528.19/728.95 = 295.31/x
  3. Step 3: Cross multiply
    528.19x = 728.95 × 295.31
  4. Step 4: Simplify right side
    528.19x = 215,267.86
  5. Step 5: Solve for x
    x = 215,267.86/528.19
  6. Step 6: Final answer
    x = 407.56

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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.