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Finding the Fourth Proportional to 448.25, 616.34 and 382.64

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Solution

The fourth proportional to 448.25, 616.34 and 382.64 is: 526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.25 : 616.34 = 382.64 : x
  2. Step 2: Convert to fraction form
    448.25/616.34 = 382.64/x
  3. Step 3: Cross multiply
    448.25x = 616.34 × 382.64
  4. Step 4: Simplify right side
    448.25x = 235,834.21
  5. Step 5: Solve for x
    x = 235,834.21/448.25
  6. Step 6: Final answer
    x = 526.13

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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.