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Finding the Fourth Proportional to 283.64, 423.23 and 257.51

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Solution

The fourth proportional to 283.64, 423.23 and 257.51 is: 384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.64 : 423.23 = 257.51 : x
  2. Step 2: Convert to fraction form
    283.64/423.23 = 257.51/x
  3. Step 3: Cross multiply
    283.64x = 423.23 × 257.51
  4. Step 4: Simplify right side
    283.64x = 108,985.73
  5. Step 5: Solve for x
    x = 108,985.73/283.64
  6. Step 6: Final answer
    x = 384.25

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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.