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Finding the Fourth Proportional to 340.07, 507.12 and 337.14

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Solution

The fourth proportional to 340.07, 507.12 and 337.14 is: 502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.07 : 507.12 = 337.14 : x
  2. Step 2: Convert to fraction form
    340.07/507.12 = 337.14/x
  3. Step 3: Cross multiply
    340.07x = 507.12 × 337.14
  4. Step 4: Simplify right side
    340.07x = 170,968.69
  5. Step 5: Solve for x
    x = 170,968.69/340.07
  6. Step 6: Final answer
    x = 502.75

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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.