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Finding the Fourth Proportional to 448.36, 672.95 and 188.55

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Solution

The fourth proportional to 448.36, 672.95 and 188.55 is: 283.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.36 : 672.95 = 188.55 : x
  2. Step 2: Convert to fraction form
    448.36/672.95 = 188.55/x
  3. Step 3: Cross multiply
    448.36x = 672.95 × 188.55
  4. Step 4: Simplify right side
    448.36x = 126,887.20
  5. Step 5: Solve for x
    x = 126,887.20/448.36
  6. Step 6: Final answer
    x = 283.00

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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.