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Finding the Fourth Proportional to 304.50, 420.24 and 188.10

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Solution

The fourth proportional to 304.50, 420.24 and 188.10 is: 259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.50 : 420.24 = 188.10 : x
  2. Step 2: Convert to fraction form
    304.50/420.24 = 188.10/x
  3. Step 3: Cross multiply
    304.50x = 420.24 × 188.10
  4. Step 4: Simplify right side
    304.50x = 79,047.14
  5. Step 5: Solve for x
    x = 79,047.14/304.50
  6. Step 6: Final answer
    x = 259.60

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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.