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Finding the Fourth Proportional to 340.17, 509.07 and 282.50

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Solution

The fourth proportional to 340.17, 509.07 and 282.50 is: 422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.17 : 509.07 = 282.50 : x
  2. Step 2: Convert to fraction form
    340.17/509.07 = 282.50/x
  3. Step 3: Cross multiply
    340.17x = 509.07 × 282.50
  4. Step 4: Simplify right side
    340.17x = 143,812.28
  5. Step 5: Solve for x
    x = 143,812.28/340.17
  6. Step 6: Final answer
    x = 422.77

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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.