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Finding the Fourth Proportional to 312.36, 465.48 and 302.58

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Solution

The fourth proportional to 312.36, 465.48 and 302.58 is: 450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.36 : 465.48 = 302.58 : x
  2. Step 2: Convert to fraction form
    312.36/465.48 = 302.58/x
  3. Step 3: Cross multiply
    312.36x = 465.48 × 302.58
  4. Step 4: Simplify right side
    312.36x = 140,844.94
  5. Step 5: Solve for x
    x = 140,844.94/312.36
  6. Step 6: Final answer
    x = 450.91

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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.