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Finding the Fourth Proportional to 336, 501.72 and 310.08

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Solution

The fourth proportional to 336, 501.72 and 310.08 is: 463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    336 : 501.72 = 310.08 : x
  2. Step 2: Convert to fraction form
    336/501.72 = 310.08/x
  3. Step 3: Cross multiply
    336x = 501.72 × 310.08
  4. Step 4: Simplify right side
    336x = 155,573.34
  5. Step 5: Solve for x
    x = 155,573.34/336
  6. Step 6: Final answer
    x = 463.02

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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.