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Finding the Fourth Proportional to 448.99, 619.42 and 291.68

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Solution

The fourth proportional to 448.99, 619.42 and 291.68 is: 402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.99 : 619.42 = 291.68 : x
  2. Step 2: Convert to fraction form
    448.99/619.42 = 291.68/x
  3. Step 3: Cross multiply
    448.99x = 619.42 × 291.68
  4. Step 4: Simplify right side
    448.99x = 180,675.77
  5. Step 5: Solve for x
    x = 180,675.77/448.99
  6. Step 6: Final answer
    x = 402.40

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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.