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Finding the Fourth Proportional to 448, 618.40 and 310.08

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Solution

The fourth proportional to 448, 618.40 and 310.08 is: 428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    448 : 618.40 = 310.08 : x
  2. Step 2: Convert to fraction form
    448/618.40 = 310.08/x
  3. Step 3: Cross multiply
    448x = 618.40 × 310.08
  4. Step 4: Simplify right side
    448x = 191,753.47
  5. Step 5: Solve for x
    x = 191,753.47/448
  6. Step 6: Final answer
    x = 428.02

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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.