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Finding the Fourth Proportional to 345.10, 514.66 and 294.07

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Solution

The fourth proportional to 345.10, 514.66 and 294.07 is: 438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.10 : 514.66 = 294.07 : x
  2. Step 2: Convert to fraction form
    345.10/514.66 = 294.07/x
  3. Step 3: Cross multiply
    345.10x = 514.66 × 294.07
  4. Step 4: Simplify right side
    345.10x = 151,346.07
  5. Step 5: Solve for x
    x = 151,346.07/345.10
  6. Step 6: Final answer
    x = 438.56

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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.