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Finding the Fourth Proportional to 345.33, 472.80 and 341.99

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Solution

The fourth proportional to 345.33, 472.80 and 341.99 is: 468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.33 : 472.80 = 341.99 : x
  2. Step 2: Convert to fraction form
    345.33/472.80 = 341.99/x
  3. Step 3: Cross multiply
    345.33x = 472.80 × 341.99
  4. Step 4: Simplify right side
    345.33x = 161,690.51
  5. Step 5: Solve for x
    x = 161,690.51/345.33
  6. Step 6: Final answer
    x = 468.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.