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Finding the Fourth Proportional to 344.70, 514.58 and 283.95

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Solution

The fourth proportional to 344.70, 514.58 and 283.95 is: 423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.70 : 514.58 = 283.95 : x
  2. Step 2: Convert to fraction form
    344.70/514.58 = 283.95/x
  3. Step 3: Cross multiply
    344.70x = 514.58 × 283.95
  4. Step 4: Simplify right side
    344.70x = 146,113.57
  5. Step 5: Solve for x
    x = 146,113.57/344.70
  6. Step 6: Final answer
    x = 423.89

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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.