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Finding the Fourth Proportional to 430.40, 594.40 and 264.72

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Solution

The fourth proportional to 430.40, 594.40 and 264.72 is: 365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.40 : 594.40 = 264.72 : x
  2. Step 2: Convert to fraction form
    430.40/594.40 = 264.72/x
  3. Step 3: Cross multiply
    430.40x = 594.40 × 264.72
  4. Step 4: Simplify right side
    430.40x = 157,349.57
  5. Step 5: Solve for x
    x = 157,349.57/430.40
  6. Step 6: Final answer
    x = 365.59

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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.