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Finding the Fourth Proportional to 346.94, 476.27 and 297.74

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Solution

The fourth proportional to 346.94, 476.27 and 297.74 is: 408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.94 : 476.27 = 297.74 : x
  2. Step 2: Convert to fraction form
    346.94/476.27 = 297.74/x
  3. Step 3: Cross multiply
    346.94x = 476.27 × 297.74
  4. Step 4: Simplify right side
    346.94x = 141,802.99
  5. Step 5: Solve for x
    x = 141,802.99/346.94
  6. Step 6: Final answer
    x = 408.72

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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.