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Finding the Fourth Proportional to 543.24, 815.22 and 283.32

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Solution

The fourth proportional to 543.24, 815.22 and 283.32 is: 425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 815.22 = 283.32 : x
  2. Step 2: Convert to fraction form
    543.24/815.22 = 283.32/x
  3. Step 3: Cross multiply
    543.24x = 815.22 × 283.32
  4. Step 4: Simplify right side
    543.24x = 230,968.13
  5. Step 5: Solve for x
    x = 230,968.13/543.24
  6. Step 6: Final answer
    x = 425.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.