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Finding the Fourth Proportional to 344.79, 514.81 and 310.24

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Solution

The fourth proportional to 344.79, 514.81 and 310.24 is: 463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.79 : 514.81 = 310.24 : x
  2. Step 2: Convert to fraction form
    344.79/514.81 = 310.24/x
  3. Step 3: Cross multiply
    344.79x = 514.81 × 310.24
  4. Step 4: Simplify right side
    344.79x = 159,714.65
  5. Step 5: Solve for x
    x = 159,714.65/344.79
  6. Step 6: Final answer
    x = 463.22

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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.