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Finding the Fourth Proportional to 304.08, 457.80 and 208.52

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Solution

The fourth proportional to 304.08, 457.80 and 208.52 is: 313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.08 : 457.80 = 208.52 : x
  2. Step 2: Convert to fraction form
    304.08/457.80 = 208.52/x
  3. Step 3: Cross multiply
    304.08x = 457.80 × 208.52
  4. Step 4: Simplify right side
    304.08x = 95,460.46
  5. Step 5: Solve for x
    x = 95,460.46/304.08
  6. Step 6: Final answer
    x = 313.93

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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.