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Finding the Fourth Proportional to 304.12, 454.08 and 260.72

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Solution

The fourth proportional to 304.12, 454.08 and 260.72 is: 389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.12 : 454.08 = 260.72 : x
  2. Step 2: Convert to fraction form
    304.12/454.08 = 260.72/x
  3. Step 3: Cross multiply
    304.12x = 454.08 × 260.72
  4. Step 4: Simplify right side
    304.12x = 118,384.16
  5. Step 5: Solve for x
    x = 118,384.16/304.12
  6. Step 6: Final answer
    x = 389.27

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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.