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Finding the Fourth Proportional to 268.59, 370.04 and 210.27

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Solution

The fourth proportional to 268.59, 370.04 and 210.27 is: 289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.59 : 370.04 = 210.27 : x
  2. Step 2: Convert to fraction form
    268.59/370.04 = 210.27/x
  3. Step 3: Cross multiply
    268.59x = 370.04 × 210.27
  4. Step 4: Simplify right side
    268.59x = 77,807.26
  5. Step 5: Solve for x
    x = 77,807.26/268.59
  6. Step 6: Final answer
    x = 289.69

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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.