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Finding the Fourth Proportional to 462.00, 637.31 and 304.47

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Solution

The fourth proportional to 462.00, 637.31 and 304.47 is: 420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.00 : 637.31 = 304.47 : x
  2. Step 2: Convert to fraction form
    462.00/637.31 = 304.47/x
  3. Step 3: Cross multiply
    462.00x = 637.31 × 304.47
  4. Step 4: Simplify right side
    462.00x = 194,037.07
  5. Step 5: Solve for x
    x = 194,037.07/462.00
  6. Step 6: Final answer
    x = 420.00

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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.