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Finding the Fourth Proportional to 543.64, 815.52 and 218.97

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Solution

The fourth proportional to 543.64, 815.52 and 218.97 is: 328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.64 : 815.52 = 218.97 : x
  2. Step 2: Convert to fraction form
    543.64/815.52 = 218.97/x
  3. Step 3: Cross multiply
    543.64x = 815.52 × 218.97
  4. Step 4: Simplify right side
    543.64x = 178,574.41
  5. Step 5: Solve for x
    x = 178,574.41/543.64
  6. Step 6: Final answer
    x = 328.48

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1.5x scale

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.