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Finding the Fourth Proportional to 402.78, 555.84 and 247.50

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Solution

The fourth proportional to 402.78, 555.84 and 247.50 is: 341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.78 : 555.84 = 247.50 : x
  2. Step 2: Convert to fraction form
    402.78/555.84 = 247.50/x
  3. Step 3: Cross multiply
    402.78x = 555.84 × 247.50
  4. Step 4: Simplify right side
    402.78x = 137,570.40
  5. Step 5: Solve for x
    x = 137,570.40/402.78
  6. Step 6: Final answer
    x = 341.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.