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Finding the Fourth Proportional to 313.86, 432.70 and 264.66

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Solution

The fourth proportional to 313.86, 432.70 and 264.66 is: 364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.86 : 432.70 = 264.66 : x
  2. Step 2: Convert to fraction form
    313.86/432.70 = 264.66/x
  3. Step 3: Cross multiply
    313.86x = 432.70 × 264.66
  4. Step 4: Simplify right side
    313.86x = 114,518.38
  5. Step 5: Solve for x
    x = 114,518.38/313.86
  6. Step 6: Final answer
    x = 364.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.