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Finding the Fourth Proportional to 295.61, 405.35 and 285.31

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Solution

The fourth proportional to 295.61, 405.35 and 285.31 is: 391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.61 : 405.35 = 285.31 : x
  2. Step 2: Convert to fraction form
    295.61/405.35 = 285.31/x
  3. Step 3: Cross multiply
    295.61x = 405.35 × 285.31
  4. Step 4: Simplify right side
    295.61x = 115,650.41
  5. Step 5: Solve for x
    x = 115,650.41/295.61
  6. Step 6: Final answer
    x = 391.23

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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.