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Finding the Fourth Proportional to 401.48, 602.16 and 209

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Solution

The fourth proportional to 401.48, 602.16 and 209 is: 313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.48 : 602.16 = 209 : x
  2. Step 2: Convert to fraction form
    401.48/602.16 = 209/x
  3. Step 3: Cross multiply
    401.48x = 602.16 × 209
  4. Step 4: Simplify right side
    401.48x = 125,851.44
  5. Step 5: Solve for x
    x = 125,851.44/401.48
  6. Step 6: Final answer
    x = 313.47

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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.