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Finding the Fourth Proportional to 363, 501.75 and 313.77

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Solution

The fourth proportional to 363, 501.75 and 313.77 is: 433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363 : 501.75 = 313.77 : x
  2. Step 2: Convert to fraction form
    363/501.75 = 313.77/x
  3. Step 3: Cross multiply
    363x = 501.75 × 313.77
  4. Step 4: Simplify right side
    363x = 157,434.10
  5. Step 5: Solve for x
    x = 157,434.10/363
  6. Step 6: Final answer
    x = 433.70

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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.