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Finding the Fourth Proportional to 291.88, 439.63 and 270.64

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Solution

The fourth proportional to 291.88, 439.63 and 270.64 is: 407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.88 : 439.63 = 270.64 : x
  2. Step 2: Convert to fraction form
    291.88/439.63 = 270.64/x
  3. Step 3: Cross multiply
    291.88x = 439.63 × 270.64
  4. Step 4: Simplify right side
    291.88x = 118,981.46
  5. Step 5: Solve for x
    x = 118,981.46/291.88
  6. Step 6: Final answer
    x = 407.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.