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Finding the Fourth Proportional to 312.58, 466.01 and 304.59

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Solution

The fourth proportional to 312.58, 466.01 and 304.59 is: 454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.58 : 466.01 = 304.59 : x
  2. Step 2: Convert to fraction form
    312.58/466.01 = 304.59/x
  3. Step 3: Cross multiply
    312.58x = 466.01 × 304.59
  4. Step 4: Simplify right side
    312.58x = 141,942.19
  5. Step 5: Solve for x
    x = 141,942.19/312.58
  6. Step 6: Final answer
    x = 454.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.