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Finding the Fourth Proportional to 295.37, 440.88 and 260.77

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Solution

The fourth proportional to 295.37, 440.88 and 260.77 is: 389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.37 : 440.88 = 260.77 : x
  2. Step 2: Convert to fraction form
    295.37/440.88 = 260.77/x
  3. Step 3: Cross multiply
    295.37x = 440.88 × 260.77
  4. Step 4: Simplify right side
    295.37x = 114,968.28
  5. Step 5: Solve for x
    x = 114,968.28/295.37
  6. Step 6: Final answer
    x = 389.23

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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.