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Finding the Fourth Proportional to 264.94, 395.80 and 210.90

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Solution

The fourth proportional to 264.94, 395.80 and 210.90 is: 315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.94 : 395.80 = 210.90 : x
  2. Step 2: Convert to fraction form
    264.94/395.80 = 210.90/x
  3. Step 3: Cross multiply
    264.94x = 395.80 × 210.90
  4. Step 4: Simplify right side
    264.94x = 83,474.22
  5. Step 5: Solve for x
    x = 83,474.22/264.94
  6. Step 6: Final answer
    x = 315.07

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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.