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Finding the Fourth Proportional to 342.16, 514.24 and 284.74

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Solution

The fourth proportional to 342.16, 514.24 and 284.74 is: 427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.16 : 514.24 = 284.74 : x
  2. Step 2: Convert to fraction form
    342.16/514.24 = 284.74/x
  3. Step 3: Cross multiply
    342.16x = 514.24 × 284.74
  4. Step 4: Simplify right side
    342.16x = 146,424.70
  5. Step 5: Solve for x
    x = 146,424.70/342.16
  6. Step 6: Final answer
    x = 427.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.