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Finding the Fourth Proportional to 340.35, 510.43 and 285.86

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Solution

The fourth proportional to 340.35, 510.43 and 285.86 is: 428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.35 : 510.43 = 285.86 : x
  2. Step 2: Convert to fraction form
    340.35/510.43 = 285.86/x
  3. Step 3: Cross multiply
    340.35x = 510.43 × 285.86
  4. Step 4: Simplify right side
    340.35x = 145,911.52
  5. Step 5: Solve for x
    x = 145,911.52/340.35
  6. Step 6: Final answer
    x = 428.71

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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.