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Finding the Fourth Proportional to 310.02, 462.79 and 264.66

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Solution

The fourth proportional to 310.02, 462.79 and 264.66 is: 395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.02 : 462.79 = 264.66 : x
  2. Step 2: Convert to fraction form
    310.02/462.79 = 264.66/x
  3. Step 3: Cross multiply
    310.02x = 462.79 × 264.66
  4. Step 4: Simplify right side
    310.02x = 122,482.00
  5. Step 5: Solve for x
    x = 122,482.00/310.02
  6. Step 6: Final answer
    x = 395.08

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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.