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Finding the Fourth Proportional to 269.14, 370.54 and 210.06

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Solution

The fourth proportional to 269.14, 370.54 and 210.06 is: 289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.14 : 370.54 = 210.06 : x
  2. Step 2: Convert to fraction form
    269.14/370.54 = 210.06/x
  3. Step 3: Cross multiply
    269.14x = 370.54 × 210.06
  4. Step 4: Simplify right side
    269.14x = 77,835.63
  5. Step 5: Solve for x
    x = 77,835.63/269.14
  6. Step 6: Final answer
    x = 289.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.