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Finding the Fourth Proportional to 430.57, 594.11 and 291.10

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Solution

The fourth proportional to 430.57, 594.11 and 291.10 is: 401.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.57 : 594.11 = 291.10 : x
  2. Step 2: Convert to fraction form
    430.57/594.11 = 291.10/x
  3. Step 3: Cross multiply
    430.57x = 594.11 × 291.10
  4. Step 4: Simplify right side
    430.57x = 172,945.42
  5. Step 5: Solve for x
    x = 172,945.42/430.57
  6. Step 6: Final answer
    x = 401.67

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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.