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Finding the Fourth Proportional to 319.60, 477.19 and 261.63

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Solution

The fourth proportional to 319.60, 477.19 and 261.63 is: 390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.60 : 477.19 = 261.63 : x
  2. Step 2: Convert to fraction form
    319.60/477.19 = 261.63/x
  3. Step 3: Cross multiply
    319.60x = 477.19 × 261.63
  4. Step 4: Simplify right side
    319.60x = 124,847.55
  5. Step 5: Solve for x
    x = 124,847.55/319.60
  6. Step 6: Final answer
    x = 390.64

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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.