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Finding the Fourth Proportional to 304.62, 454.82 and 261.21

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Solution

The fourth proportional to 304.62, 454.82 and 261.21 is: 390.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.62 : 454.82 = 261.21 : x
  2. Step 2: Convert to fraction form
    304.62/454.82 = 261.21/x
  3. Step 3: Cross multiply
    304.62x = 454.82 × 261.21
  4. Step 4: Simplify right side
    304.62x = 118,803.53
  5. Step 5: Solve for x
    x = 118,803.53/304.62
  6. Step 6: Final answer
    x = 390.01

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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.