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Finding the Fourth Proportional to 543.58, 815.51 and 218.94

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Solution

The fourth proportional to 543.58, 815.51 and 218.94 is: 328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.58 : 815.51 = 218.94 : x
  2. Step 2: Convert to fraction form
    543.58/815.51 = 218.94/x
  3. Step 3: Cross multiply
    543.58x = 815.51 × 218.94
  4. Step 4: Simplify right side
    543.58x = 178,547.76
  5. Step 5: Solve for x
    x = 178,547.76/543.58
  6. Step 6: Final answer
    x = 328.47

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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.