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Finding the Fourth Proportional to 312.19, 467.39 and 283.32

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Solution

The fourth proportional to 312.19, 467.39 and 283.32 is: 424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.19 : 467.39 = 283.32 : x
  2. Step 2: Convert to fraction form
    312.19/467.39 = 283.32/x
  3. Step 3: Cross multiply
    312.19x = 467.39 × 283.32
  4. Step 4: Simplify right side
    312.19x = 132,421.64
  5. Step 5: Solve for x
    x = 132,421.64/312.19
  6. Step 6: Final answer
    x = 424.17

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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.