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Finding the Fourth Proportional to 345.42, 514.77 and 335.01

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Solution

The fourth proportional to 345.42, 514.77 and 335.01 is: 499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.42 : 514.77 = 335.01 : x
  2. Step 2: Convert to fraction form
    345.42/514.77 = 335.01/x
  3. Step 3: Cross multiply
    345.42x = 514.77 × 335.01
  4. Step 4: Simplify right side
    345.42x = 172,453.10
  5. Step 5: Solve for x
    x = 172,453.10/345.42
  6. Step 6: Final answer
    x = 499.26

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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.