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Finding the Fourth Proportional to 344.94, 514.96 and 284.18

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Solution

The fourth proportional to 344.94, 514.96 and 284.18 is: 424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.94 : 514.96 = 284.18 : x
  2. Step 2: Convert to fraction form
    344.94/514.96 = 284.18/x
  3. Step 3: Cross multiply
    344.94x = 514.96 × 284.18
  4. Step 4: Simplify right side
    344.94x = 146,341.33
  5. Step 5: Solve for x
    x = 146,341.33/344.94
  6. Step 6: Final answer
    x = 424.25

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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.