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Finding the Fourth Proportional to 429.36, 592.35 and 298.47

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Solution

The fourth proportional to 429.36, 592.35 and 298.47 is: 411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.36 : 592.35 = 298.47 : x
  2. Step 2: Convert to fraction form
    429.36/592.35 = 298.47/x
  3. Step 3: Cross multiply
    429.36x = 592.35 × 298.47
  4. Step 4: Simplify right side
    429.36x = 176,798.70
  5. Step 5: Solve for x
    x = 176,798.70/429.36
  6. Step 6: Final answer
    x = 411.77

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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.