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Finding the Fourth Proportional to 248.19, 373.77 and 209.93

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Solution

The fourth proportional to 248.19, 373.77 and 209.93 is: 316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.19 : 373.77 = 209.93 : x
  2. Step 2: Convert to fraction form
    248.19/373.77 = 209.93/x
  3. Step 3: Cross multiply
    248.19x = 373.77 × 209.93
  4. Step 4: Simplify right side
    248.19x = 78,463.67
  5. Step 5: Solve for x
    x = 78,463.67/248.19
  6. Step 6: Final answer
    x = 316.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.