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Finding the Fourth Proportional to 425.16, 586.16 and 307.30

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Solution

The fourth proportional to 425.16, 586.16 and 307.30 is: 423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.16 : 586.16 = 307.30 : x
  2. Step 2: Convert to fraction form
    425.16/586.16 = 307.30/x
  3. Step 3: Cross multiply
    425.16x = 586.16 × 307.30
  4. Step 4: Simplify right side
    425.16x = 180,126.97
  5. Step 5: Solve for x
    x = 180,126.97/425.16
  6. Step 6: Final answer
    x = 423.67

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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.