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Finding the Fourth Proportional to 340.42, 510.60 and 286.20

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Solution

The fourth proportional to 340.42, 510.60 and 286.20 is: 429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.42 : 510.60 = 286.20 : x
  2. Step 2: Convert to fraction form
    340.42/510.60 = 286.20/x
  3. Step 3: Cross multiply
    340.42x = 510.60 × 286.20
  4. Step 4: Simplify right side
    340.42x = 146,133.72
  5. Step 5: Solve for x
    x = 146,133.72/340.42
  6. Step 6: Final answer
    x = 429.27

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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.