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Finding the Fourth Proportional to 304.80, 420.48 and 188.32

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Solution

The fourth proportional to 304.80, 420.48 and 188.32 is: 259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.80 : 420.48 = 188.32 : x
  2. Step 2: Convert to fraction form
    304.80/420.48 = 188.32/x
  3. Step 3: Cross multiply
    304.80x = 420.48 × 188.32
  4. Step 4: Simplify right side
    304.80x = 79,184.79
  5. Step 5: Solve for x
    x = 79,184.79/304.80
  6. Step 6: Final answer
    x = 259.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.