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Finding the Fourth Proportional to 429.98, 592.47 and 291.74

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Solution

The fourth proportional to 429.98, 592.47 and 291.74 is: 401.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.98 : 592.47 = 291.74 : x
  2. Step 2: Convert to fraction form
    429.98/592.47 = 291.74/x
  3. Step 3: Cross multiply
    429.98x = 592.47 × 291.74
  4. Step 4: Simplify right side
    429.98x = 172,847.20
  5. Step 5: Solve for x
    x = 172,847.20/429.98
  6. Step 6: Final answer
    x = 401.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.