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Finding the Fourth Proportional to 434.21, 651.58 and 228.93

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Solution

The fourth proportional to 434.21, 651.58 and 228.93 is: 343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.21 : 651.58 = 228.93 : x
  2. Step 2: Convert to fraction form
    434.21/651.58 = 228.93/x
  3. Step 3: Cross multiply
    434.21x = 651.58 × 228.93
  4. Step 4: Simplify right side
    434.21x = 149,166.21
  5. Step 5: Solve for x
    x = 149,166.21/434.21
  6. Step 6: Final answer
    x = 343.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.