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Finding the Fourth Proportional to 448, 672 and 191.50

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Solution

The fourth proportional to 448, 672 and 191.50 is: 287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448 : 672 = 191.50 : x
  2. Step 2: Convert to fraction form
    448/672 = 191.50/x
  3. Step 3: Cross multiply
    448x = 672 × 191.50
  4. Step 4: Simplify right side
    448x = 128,688
  5. Step 5: Solve for x
    x = 128,688/448
  6. Step 6: Final answer
    x = 287.25

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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.