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Finding the Fourth Proportional to 423, 582.72 and 275.28

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Solution

The fourth proportional to 423, 582.72 and 275.28 is: 379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423 : 582.72 = 275.28 : x
  2. Step 2: Convert to fraction form
    423/582.72 = 275.28/x
  3. Step 3: Cross multiply
    423x = 582.72 × 275.28
  4. Step 4: Simplify right side
    423x = 160,411.16
  5. Step 5: Solve for x
    x = 160,411.16/423
  6. Step 6: Final answer
    x = 379.22

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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.