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Finding the Fourth Proportional to 448.84, 672.72 and 243.40

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Solution

The fourth proportional to 448.84, 672.72 and 243.40 is: 364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.84 : 672.72 = 243.40 : x
  2. Step 2: Convert to fraction form
    448.84/672.72 = 243.40/x
  3. Step 3: Cross multiply
    448.84x = 672.72 × 243.40
  4. Step 4: Simplify right side
    448.84x = 163,740.05
  5. Step 5: Solve for x
    x = 163,740.05/448.84
  6. Step 6: Final answer
    x = 364.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.