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Finding the Fourth Proportional to 424, 585.36 and 320.32

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Solution

The fourth proportional to 424, 585.36 and 320.32 is: 442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424 : 585.36 = 320.32 : x
  2. Step 2: Convert to fraction form
    424/585.36 = 320.32/x
  3. Step 3: Cross multiply
    424x = 585.36 × 320.32
  4. Step 4: Simplify right side
    424x = 187,502.52
  5. Step 5: Solve for x
    x = 187,502.52/424
  6. Step 6: Final answer
    x = 442.22

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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.