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Finding the Fourth Proportional to 508.58, 702 and 312.20

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Solution

The fourth proportional to 508.58, 702 and 312.20 is: 430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.58 : 702 = 312.20 : x
  2. Step 2: Convert to fraction form
    508.58/702 = 312.20/x
  3. Step 3: Cross multiply
    508.58x = 702 × 312.20
  4. Step 4: Simplify right side
    508.58x = 219,164.40
  5. Step 5: Solve for x
    x = 219,164.40/508.58
  6. Step 6: Final answer
    x = 430.93

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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.