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Finding the Fourth Proportional to 284.60, 424.36 and 260.48

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Solution

The fourth proportional to 284.60, 424.36 and 260.48 is: 388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.60 : 424.36 = 260.48 : x
  2. Step 2: Convert to fraction form
    284.60/424.36 = 260.48/x
  3. Step 3: Cross multiply
    284.60x = 424.36 × 260.48
  4. Step 4: Simplify right side
    284.60x = 110,537.29
  5. Step 5: Solve for x
    x = 110,537.29/284.60
  6. Step 6: Final answer
    x = 388.40

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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.