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Finding the Fourth Proportional to 459.36, 688.72 and 243.09

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Solution

The fourth proportional to 459.36, 688.72 and 243.09 is: 364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.36 : 688.72 = 243.09 : x
  2. Step 2: Convert to fraction form
    459.36/688.72 = 243.09/x
  3. Step 3: Cross multiply
    459.36x = 688.72 × 243.09
  4. Step 4: Simplify right side
    459.36x = 167,420.94
  5. Step 5: Solve for x
    x = 167,420.94/459.36
  6. Step 6: Final answer
    x = 364.47

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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.