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Finding the Fourth Proportional to 275.06, 410.13 and 242.67

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Solution

The fourth proportional to 275.06, 410.13 and 242.67 is: 361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.06 : 410.13 = 242.67 : x
  2. Step 2: Convert to fraction form
    275.06/410.13 = 242.67/x
  3. Step 3: Cross multiply
    275.06x = 410.13 × 242.67
  4. Step 4: Simplify right side
    275.06x = 99,526.25
  5. Step 5: Solve for x
    x = 99,526.25/275.06
  6. Step 6: Final answer
    x = 361.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.