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Finding the Fourth Proportional to 339.99, 510.14 and 145.14

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Solution

The fourth proportional to 339.99, 510.14 and 145.14 is: 217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.99 : 510.14 = 145.14 : x
  2. Step 2: Convert to fraction form
    339.99/510.14 = 145.14/x
  3. Step 3: Cross multiply
    339.99x = 510.14 × 145.14
  4. Step 4: Simplify right side
    339.99x = 74,039.17
  5. Step 5: Solve for x
    x = 74,039.17/339.99
  6. Step 6: Final answer
    x = 217.77

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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.