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Finding the Fourth Proportional to 448.47, 668.24 and 399.98

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Solution

The fourth proportional to 448.47, 668.24 and 399.98 is: 595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.47 : 668.24 = 399.98 : x
  2. Step 2: Convert to fraction form
    448.47/668.24 = 399.98/x
  3. Step 3: Cross multiply
    448.47x = 668.24 × 399.98
  4. Step 4: Simplify right side
    448.47x = 267,277.29
  5. Step 5: Solve for x
    x = 267,277.29/448.47
  6. Step 6: Final answer
    x = 595.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.