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Finding the Fourth Proportional to 342.51, 469.64 and 334.31

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Solution

The fourth proportional to 342.51, 469.64 and 334.31 is: 458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.51 : 469.64 = 334.31 : x
  2. Step 2: Convert to fraction form
    342.51/469.64 = 334.31/x
  3. Step 3: Cross multiply
    342.51x = 469.64 × 334.31
  4. Step 4: Simplify right side
    342.51x = 157,003.84
  5. Step 5: Solve for x
    x = 157,003.84/342.51
  6. Step 6: Final answer
    x = 458.40

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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.