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Finding the Fourth Proportional to 448.16, 672.40 and 140

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Solution

The fourth proportional to 448.16, 672.40 and 140 is: 210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.16 : 672.40 = 140 : x
  2. Step 2: Convert to fraction form
    448.16/672.40 = 140/x
  3. Step 3: Cross multiply
    448.16x = 672.40 × 140
  4. Step 4: Simplify right side
    448.16x = 94,136
  5. Step 5: Solve for x
    x = 94,136/448.16
  6. Step 6: Final answer
    x = 210.05

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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.