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Finding the Fourth Proportional to 315.61, 470.53 and 307.61

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Solution

The fourth proportional to 315.61, 470.53 and 307.61 is: 458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.61 : 470.53 = 307.61 : x
  2. Step 2: Convert to fraction form
    315.61/470.53 = 307.61/x
  3. Step 3: Cross multiply
    315.61x = 470.53 × 307.61
  4. Step 4: Simplify right side
    315.61x = 144,738.20
  5. Step 5: Solve for x
    x = 144,738.20/315.61
  6. Step 6: Final answer
    x = 458.61

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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.