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Finding the Fourth Proportional to 295.02, 440.84 and 257.98

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Solution

The fourth proportional to 295.02, 440.84 and 257.98 is: 385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.02 : 440.84 = 257.98 : x
  2. Step 2: Convert to fraction form
    295.02/440.84 = 257.98/x
  3. Step 3: Cross multiply
    295.02x = 440.84 × 257.98
  4. Step 4: Simplify right side
    295.02x = 113,727.90
  5. Step 5: Solve for x
    x = 113,727.90/295.02
  6. Step 6: Final answer
    x = 385.49

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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.