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Finding the Fourth Proportional to 312.31, 466.30 and 266.01

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Solution

The fourth proportional to 312.31, 466.30 and 266.01 is: 397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.31 : 466.30 = 266.01 : x
  2. Step 2: Convert to fraction form
    312.31/466.30 = 266.01/x
  3. Step 3: Cross multiply
    312.31x = 466.30 × 266.01
  4. Step 4: Simplify right side
    312.31x = 124,040.46
  5. Step 5: Solve for x
    x = 124,040.46/312.31
  6. Step 6: Final answer
    x = 397.17

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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.