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Finding the Fourth Proportional to 264.71, 395.16 and 245.67

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Solution

The fourth proportional to 264.71, 395.16 and 245.67 is: 366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.71 : 395.16 = 245.67 : x
  2. Step 2: Convert to fraction form
    264.71/395.16 = 245.67/x
  3. Step 3: Cross multiply
    264.71x = 395.16 × 245.67
  4. Step 4: Simplify right side
    264.71x = 97,078.96
  5. Step 5: Solve for x
    x = 97,078.96/264.71
  6. Step 6: Final answer
    x = 366.74

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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.