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Finding the Fourth Proportional to 346.70, 476.49 and 336.98

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Solution

The fourth proportional to 346.70, 476.49 and 336.98 is: 463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.70 : 476.49 = 336.98 : x
  2. Step 2: Convert to fraction form
    346.70/476.49 = 336.98/x
  3. Step 3: Cross multiply
    346.70x = 476.49 × 336.98
  4. Step 4: Simplify right side
    346.70x = 160,565.22
  5. Step 5: Solve for x
    x = 160,565.22/346.70
  6. Step 6: Final answer
    x = 463.13

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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.