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Finding the Fourth Proportional to 312.35, 466.82 and 287.72

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Solution

The fourth proportional to 312.35, 466.82 and 287.72 is: 430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.35 : 466.82 = 287.72 : x
  2. Step 2: Convert to fraction form
    312.35/466.82 = 287.72/x
  3. Step 3: Cross multiply
    312.35x = 466.82 × 287.72
  4. Step 4: Simplify right side
    312.35x = 134,312.51
  5. Step 5: Solve for x
    x = 134,312.51/312.35
  6. Step 6: Final answer
    x = 430.01

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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.