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Finding the Fourth Proportional to 340.16, 507.76 and 294.80

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Solution

The fourth proportional to 340.16, 507.76 and 294.80 is: 440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.16 : 507.76 = 294.80 : x
  2. Step 2: Convert to fraction form
    340.16/507.76 = 294.80/x
  3. Step 3: Cross multiply
    340.16x = 507.76 × 294.80
  4. Step 4: Simplify right side
    340.16x = 149,687.65
  5. Step 5: Solve for x
    x = 149,687.65/340.16
  6. Step 6: Final answer
    x = 440.05

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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.