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Finding the Fourth Proportional to 672.21, 1,008.32 and 210.11

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Solution

The fourth proportional to 672.21, 1,008.32 and 210.11 is: 315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.21 : 1,008.32 = 210.11 : x
  2. Step 2: Convert to fraction form
    672.21/1,008.32 = 210.11/x
  3. Step 3: Cross multiply
    672.21x = 1,008.32 × 210.11
  4. Step 4: Simplify right side
    672.21x = 211,852.02
  5. Step 5: Solve for x
    x = 211,852.02/672.21
  6. Step 6: Final answer
    x = 315.16

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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.