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Finding the Fourth Proportional to 285.02, 392.82 and 207.26

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Solution

The fourth proportional to 285.02, 392.82 and 207.26 is: 285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.02 : 392.82 = 207.26 : x
  2. Step 2: Convert to fraction form
    285.02/392.82 = 207.26/x
  3. Step 3: Cross multiply
    285.02x = 392.82 × 207.26
  4. Step 4: Simplify right side
    285.02x = 81,415.87
  5. Step 5: Solve for x
    x = 81,415.87/285.02
  6. Step 6: Final answer
    x = 285.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.