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Finding the Fourth Proportional to 340.34, 509.64 and 282.78

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Solution

The fourth proportional to 340.34, 509.64 and 282.78 is: 423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.34 : 509.64 = 282.78 : x
  2. Step 2: Convert to fraction form
    340.34/509.64 = 282.78/x
  3. Step 3: Cross multiply
    340.34x = 509.64 × 282.78
  4. Step 4: Simplify right side
    340.34x = 144,116.00
  5. Step 5: Solve for x
    x = 144,116.00/340.34
  6. Step 6: Final answer
    x = 423.45

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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.