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Finding the Fourth Proportional to 340.14, 507.56 and 291.36

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Solution

The fourth proportional to 340.14, 507.56 and 291.36 is: 434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 507.56 = 291.36 : x
  2. Step 2: Convert to fraction form
    340.14/507.56 = 291.36/x
  3. Step 3: Cross multiply
    340.14x = 507.56 × 291.36
  4. Step 4: Simplify right side
    340.14x = 147,882.68
  5. Step 5: Solve for x
    x = 147,882.68/340.14
  6. Step 6: Final answer
    x = 434.77

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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.