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Finding the Fourth Proportional to 462.24, 693.48 and 339.36

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Solution

The fourth proportional to 462.24, 693.48 and 339.36 is: 509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 693.48 = 339.36 : x
  2. Step 2: Convert to fraction form
    462.24/693.48 = 339.36/x
  3. Step 3: Cross multiply
    462.24x = 693.48 × 339.36
  4. Step 4: Simplify right side
    462.24x = 235,339.37
  5. Step 5: Solve for x
    x = 235,339.37/462.24
  6. Step 6: Final answer
    x = 509.13

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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.