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Finding the Fourth Proportional to 340.77, 470.42 and 235.89

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Solution

The fourth proportional to 340.77, 470.42 and 235.89 is: 325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.77 : 470.42 = 235.89 : x
  2. Step 2: Convert to fraction form
    340.77/470.42 = 235.89/x
  3. Step 3: Cross multiply
    340.77x = 470.42 × 235.89
  4. Step 4: Simplify right side
    340.77x = 110,967.37
  5. Step 5: Solve for x
    x = 110,967.37/340.77
  6. Step 6: Final answer
    x = 325.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.