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Finding the Fourth Proportional to 340.90, 470.47 and 214.84

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Solution

The fourth proportional to 340.90, 470.47 and 214.84 is: 296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.90 : 470.47 = 214.84 : x
  2. Step 2: Convert to fraction form
    340.90/470.47 = 214.84/x
  3. Step 3: Cross multiply
    340.90x = 470.47 × 214.84
  4. Step 4: Simplify right side
    340.90x = 101,075.77
  5. Step 5: Solve for x
    x = 101,075.77/340.90
  6. Step 6: Final answer
    x = 296.50

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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.