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Finding the Fourth Proportional to 268.55, 370.57 and 156.50

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Solution

The fourth proportional to 268.55, 370.57 and 156.50 is: 215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.55 : 370.57 = 156.50 : x
  2. Step 2: Convert to fraction form
    268.55/370.57 = 156.50/x
  3. Step 3: Cross multiply
    268.55x = 370.57 × 156.50
  4. Step 4: Simplify right side
    268.55x = 57,991.57
  5. Step 5: Solve for x
    x = 57,991.57/268.55
  6. Step 6: Final answer
    x = 215.95

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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.