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Finding the Fourth Proportional to 332.94, 501.86 and 305.21

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Solution

The fourth proportional to 332.94, 501.86 and 305.21 is: 460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.94 : 501.86 = 305.21 : x
  2. Step 2: Convert to fraction form
    332.94/501.86 = 305.21/x
  3. Step 3: Cross multiply
    332.94x = 501.86 × 305.21
  4. Step 4: Simplify right side
    332.94x = 153,172.69
  5. Step 5: Solve for x
    x = 153,172.69/332.94
  6. Step 6: Final answer
    x = 460.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.