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Finding the Fourth Proportional to 302.10, 423.75 and 302.10

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Solution

The fourth proportional to 302.10, 423.75 and 302.10 is: 423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.10 : 423.75 = 302.10 : x
  2. Step 2: Convert to fraction form
    302.10/423.75 = 302.10/x
  3. Step 3: Cross multiply
    302.10x = 423.75 × 302.10
  4. Step 4: Simplify right side
    302.10x = 128,014.88
  5. Step 5: Solve for x
    x = 128,014.88/302.10
  6. Step 6: Final answer
    x = 423.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.