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Finding the Fourth Proportional to 268.50, 370.54 and 152.06

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Solution

The fourth proportional to 268.50, 370.54 and 152.06 is: 209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.50 : 370.54 = 152.06 : x
  2. Step 2: Convert to fraction form
    268.50/370.54 = 152.06/x
  3. Step 3: Cross multiply
    268.50x = 370.54 × 152.06
  4. Step 4: Simplify right side
    268.50x = 56,344.31
  5. Step 5: Solve for x
    x = 56,344.31/268.50
  6. Step 6: Final answer
    x = 209.85

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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.