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Finding the Fourth Proportional to 336.51, 463.32 and 294.83

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Solution

The fourth proportional to 336.51, 463.32 and 294.83 is: 405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.51 : 463.32 = 294.83 : x
  2. Step 2: Convert to fraction form
    336.51/463.32 = 294.83/x
  3. Step 3: Cross multiply
    336.51x = 463.32 × 294.83
  4. Step 4: Simplify right side
    336.51x = 136,598.32
  5. Step 5: Solve for x
    x = 136,598.32/336.51
  6. Step 6: Final answer
    x = 405.93

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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.