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Finding the Fourth Proportional to 315.05, 472.62 and 152.63

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Solution

The fourth proportional to 315.05, 472.62 and 152.63 is: 228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.05 : 472.62 = 152.63 : x
  2. Step 2: Convert to fraction form
    315.05/472.62 = 152.63/x
  3. Step 3: Cross multiply
    315.05x = 472.62 × 152.63
  4. Step 4: Simplify right side
    315.05x = 72,133.63
  5. Step 5: Solve for x
    x = 72,133.63/315.05
  6. Step 6: Final answer
    x = 228.96

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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.