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Finding the Fourth Proportional to 448.71, 619.23 and 291.41

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Solution

The fourth proportional to 448.71, 619.23 and 291.41 is: 402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.71 : 619.23 = 291.41 : x
  2. Step 2: Convert to fraction form
    448.71/619.23 = 291.41/x
  3. Step 3: Cross multiply
    448.71x = 619.23 × 291.41
  4. Step 4: Simplify right side
    448.71x = 180,446.72
  5. Step 5: Solve for x
    x = 180,446.72/448.71
  6. Step 6: Final answer
    x = 402.15

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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.