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Finding the Fourth Proportional to 286.02, 392.63 and 258.34

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Solution

The fourth proportional to 286.02, 392.63 and 258.34 is: 354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.02 : 392.63 = 258.34 : x
  2. Step 2: Convert to fraction form
    286.02/392.63 = 258.34/x
  3. Step 3: Cross multiply
    286.02x = 392.63 × 258.34
  4. Step 4: Simplify right side
    286.02x = 101,433.04
  5. Step 5: Solve for x
    x = 101,433.04/286.02
  6. Step 6: Final answer
    x = 354.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.