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Finding the Fourth Proportional to 430.40, 593.91 and 264.66

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Solution

The fourth proportional to 430.40, 593.91 and 264.66 is: 365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.40 : 593.91 = 264.66 : x
  2. Step 2: Convert to fraction form
    430.40/593.91 = 264.66/x
  3. Step 3: Cross multiply
    430.40x = 593.91 × 264.66
  4. Step 4: Simplify right side
    430.40x = 157,184.22
  5. Step 5: Solve for x
    x = 157,184.22/430.40
  6. Step 6: Final answer
    x = 365.20

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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.