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Finding the Fourth Proportional to 335.90, 501.68 and 305.66

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Solution

The fourth proportional to 335.90, 501.68 and 305.66 is: 456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.90 : 501.68 = 305.66 : x
  2. Step 2: Convert to fraction form
    335.90/501.68 = 305.66/x
  3. Step 3: Cross multiply
    335.90x = 501.68 × 305.66
  4. Step 4: Simplify right side
    335.90x = 153,343.51
  5. Step 5: Solve for x
    x = 153,343.51/335.90
  6. Step 6: Final answer
    x = 456.52

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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.