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Finding the Fourth Proportional to 401.64, 602.75 and 209.40

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Solution

The fourth proportional to 401.64, 602.75 and 209.40 is: 314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.64 : 602.75 = 209.40 : x
  2. Step 2: Convert to fraction form
    401.64/602.75 = 209.40/x
  3. Step 3: Cross multiply
    401.64x = 602.75 × 209.40
  4. Step 4: Simplify right side
    401.64x = 126,215.85
  5. Step 5: Solve for x
    x = 126,215.85/401.64
  6. Step 6: Final answer
    x = 314.25

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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.