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Finding the Fourth Proportional to 284.64, 424.72 and 258.51

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Solution

The fourth proportional to 284.64, 424.72 and 258.51 is: 385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.64 : 424.72 = 258.51 : x
  2. Step 2: Convert to fraction form
    284.64/424.72 = 258.51/x
  3. Step 3: Cross multiply
    284.64x = 424.72 × 258.51
  4. Step 4: Simplify right side
    284.64x = 109,794.37
  5. Step 5: Solve for x
    x = 109,794.37/284.64
  6. Step 6: Final answer
    x = 385.73

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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.