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Finding the Fourth Proportional to 315.61, 470.83 and 307.12

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Solution

The fourth proportional to 315.61, 470.83 and 307.12 is: 458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.61 : 470.83 = 307.12 : x
  2. Step 2: Convert to fraction form
    315.61/470.83 = 307.12/x
  3. Step 3: Cross multiply
    315.61x = 470.83 × 307.12
  4. Step 4: Simplify right side
    315.61x = 144,601.31
  5. Step 5: Solve for x
    x = 144,601.31/315.61
  6. Step 6: Final answer
    x = 458.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.