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Finding the Fourth Proportional to 345.42, 515.31 and 284.36

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Solution

The fourth proportional to 345.42, 515.31 and 284.36 is: 424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.42 : 515.31 = 284.36 : x
  2. Step 2: Convert to fraction form
    345.42/515.31 = 284.36/x
  3. Step 3: Cross multiply
    345.42x = 515.31 × 284.36
  4. Step 4: Simplify right side
    345.42x = 146,533.55
  5. Step 5: Solve for x
    x = 146,533.55/345.42
  6. Step 6: Final answer
    x = 424.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.