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Finding the Fourth Proportional to 304.02, 455.96 and 87.58

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Solution

The fourth proportional to 304.02, 455.96 and 87.58 is: 131.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.02 : 455.96 = 87.58 : x
  2. Step 2: Convert to fraction form
    304.02/455.96 = 87.58/x
  3. Step 3: Cross multiply
    304.02x = 455.96 × 87.58
  4. Step 4: Simplify right side
    304.02x = 39,932.98
  5. Step 5: Solve for x
    x = 39,932.98/304.02
  6. Step 6: Final answer
    x = 131.35

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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.