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Finding the Fourth Proportional to 304.54, 457.18 and 253.80

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Solution

The fourth proportional to 304.54, 457.18 and 253.80 is: 381.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.54 : 457.18 = 253.80 : x
  2. Step 2: Convert to fraction form
    304.54/457.18 = 253.80/x
  3. Step 3: Cross multiply
    304.54x = 457.18 × 253.80
  4. Step 4: Simplify right side
    304.54x = 116,031.65
  5. Step 5: Solve for x
    x = 116,031.65/304.54
  6. Step 6: Final answer
    x = 381.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.