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Finding the Fourth Proportional to 340.50, 469.88 and 242.42

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Solution

The fourth proportional to 340.50, 469.88 and 242.42 is: 334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.50 : 469.88 = 242.42 : x
  2. Step 2: Convert to fraction form
    340.50/469.88 = 242.42/x
  3. Step 3: Cross multiply
    340.50x = 469.88 × 242.42
  4. Step 4: Simplify right side
    340.50x = 113,908.31
  5. Step 5: Solve for x
    x = 113,908.31/340.50
  6. Step 6: Final answer
    x = 334.53

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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.