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Finding the Fourth Proportional to 346.65, 519.53 and 342.98

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Solution

The fourth proportional to 346.65, 519.53 and 342.98 is: 514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.65 : 519.53 = 342.98 : x
  2. Step 2: Convert to fraction form
    346.65/519.53 = 342.98/x
  3. Step 3: Cross multiply
    346.65x = 519.53 × 342.98
  4. Step 4: Simplify right side
    346.65x = 178,190.89
  5. Step 5: Solve for x
    x = 178,190.89/346.65
  6. Step 6: Final answer
    x = 514.04

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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.