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Finding the Fourth Proportional to 342.49, 509.85 and 340.66

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Solution

The fourth proportional to 342.49, 509.85 and 340.66 is: 507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.49 : 509.85 = 340.66 : x
  2. Step 2: Convert to fraction form
    342.49/509.85 = 340.66/x
  3. Step 3: Cross multiply
    342.49x = 509.85 × 340.66
  4. Step 4: Simplify right side
    342.49x = 173,685.50
  5. Step 5: Solve for x
    x = 173,685.50/342.49
  6. Step 6: Final answer
    x = 507.13

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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.