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Finding the Fourth Proportional to 278.04, 418.70 and 242.40

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Solution

The fourth proportional to 278.04, 418.70 and 242.40 is: 365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.04 : 418.70 = 242.40 : x
  2. Step 2: Convert to fraction form
    278.04/418.70 = 242.40/x
  3. Step 3: Cross multiply
    278.04x = 418.70 × 242.40
  4. Step 4: Simplify right side
    278.04x = 101,491.67
  5. Step 5: Solve for x
    x = 101,491.67/278.04
  6. Step 6: Final answer
    x = 365.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.